First path: ZONE
Trace ZONE through 1 at row 6, column 6; 2 at row 6, column 5; 3 at row 6, column 4; 4 at row 5, column 4. Reading those four cells in order gives Z → O → N → E. The route takes two consecutive steps left and then one step up.
This compact path makes one turn and consists of two straight segments. It spans two rows and three columns, visits three edge cells, and includes one corner cell. Once its four cells are assigned, 26 of the board’s 30 open cells remain for the other four entries. That remainder matches the combined lengths 5, 6, 7, and 8.